Determination of the resonant frequencies in a complex cavity using the scattering matrix formulation

Author

Neilson, Jeff M. ; Latham, Peter E. ; Caplan, Malcolm ; Lawson, Wesley G.

Author_Institution

Varian Associates, Palo Alto, CA, USA

Volume

37

Issue

8

fYear

1989

fDate

8/1/1989 12:00:00 AM

Firstpage

1165

Lastpage

1170

Abstract

A method for computing the resonant frequency in a complex cavity consisting of a series of waveguide sections is derived. The analysis is restricted to transitions in which one waveguide is wholly contained in the other. An eigenvalue problem is formed by cascading the scattering matrix from a given section outwards to the ends of the complex cavity, with appropriate boundary conditions at the ends. The eigenvalue equation is solved numerically by searching for a complex frequency, the cavity Q being determined by half of the ratio of the real to the imaginary part of the frequency. The technique is easily implemented numerically and shows good agreement with experiment. This method is suitable for modeling both abrupt changes in radius and smoothly varying tapers

Keywords

S-matrix theory; cavity resonators; eigenvalues and eigenfunctions; abrupt changes; boundary conditions; cascading; cavity Q; complex cavity; eigenvalue problem; resonant frequencies; scattering matrix formulation; smoothly varying tapers; waveguide sections; Boundary conditions; Eigenvalues and eigenfunctions; Equations; Laboratories; Region 2; Resonance; Resonant frequency; Scattering; Transmission line matrix methods; Waveguide transitions;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.31074

Filename

31074